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Finding the Third Proportional to 87,602 and 189,316

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Solution

The third proportional to 87,602 and 189,316 is: 409,129.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,602 : 189,316 = 189,316 : x
  2. Step 2: Convert to fraction form
    87,602/189,316 = 189,316/x
  3. Step 3: Cross multiply
    87,602x = 189,316 × 189,316
  4. Step 4: Simplify right side
    87,602x = 35,840,547,856
  5. Step 5: Solve for x
    x = 35,840,547,856/87,602
  6. Step 6: Final answer
    x = 409,129.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.